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Finding the Third Proportional to 515,995.50 and 796,998

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Solution

The third proportional to 515,995.50 and 796,998 is: 1,231,029.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,995.50 : 796,998 = 796,998 : x
  2. Step 2: Convert to fraction form
    515,995.50/796,998 = 796,998/x
  3. Step 3: Cross multiply
    515,995.50x = 796,998 × 796,998
  4. Step 4: Simplify right side
    515,995.50x = 635,205,812,004
  5. Step 5: Solve for x
    x = 635,205,812,004/515,995.50
  6. Step 6: Final answer
    x = 1,231,029.75

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.